"They are going to be fearing us a little bit," said Demetriou.
"We've come off the back of a great run so we are looking forward to it. If we get three points then people will start taking notice of us."
Wayne Rooney has returned to Everton after 13 years at Manchester United.
Germany defender Antonio Rudiger has joined Chelsea from Roma on a five-year contract.
Wayne Rooney has returned to Everton after a record-breaking career at Manchester United.